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Korolek [52]
3 years ago
10

36 = 3 (7t + 5)what is t?

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0
3(7t+5)= 36

First, distribute into parentheses

21t+15= 36

Subtract 15 from both sides

21t= 21

Now divide both sides by 21

t= 1
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What is the common difference, d, in the arithmetic sequence defined by the formula below? an=2n+1
marishachu [46]
<h3><u>Answer:</u></h3>

  • d = 2

<h3><u>Solution:</u></h3>

We are given that the arithmetic progression is defined by :

➝ 2n + 1

<em>Therefore, </em>

  • <u>For </u><u>first </u><u>term</u>

➙ n = 1

➝ 2 × 1 + 1

➝ 2 + 1

➝ 3

  • <u>For </u><u>second </u><u>term</u>

➙ n = 2

➝ 2 × 2 + 1

➝ 4 + 1

➝ 5

  • <u>Common </u><u>difference</u>

➙ 2nd term - 1st term

➝ 5 - 3

➝ 2

<h3><u>More </u><u>information</u><u>:</u></h3>

  • The difference between the successive term and the preceding term is the difference of an arithmetic progression. It is always same for the same arithmetic progression.

5 0
2 years ago
He length of a rectangle is three times its width. The perimeter of the rectangle is at most 112 cm.
g100num [7]
The equation relating length to width
L = 3W
The inequality stating the boundaries of the perimeter
LW <= 112
When you plug in what L equals in the first equation into the second equation, you get
3W * W <= 112
evaluate
3W^2 <= 112
3W <= 4 \sqrt{7}
W <= \frac{4 \sqrt{7} }{3} cm
8 0
4 years ago
Read 2 more answers
Write three different equations that have x=5 as a solution
svlad2 [7]

Answer: The three different equations will be

x+3=8\\\\2x-8=2\\\\4x-4=16

Step-by-step explanation:

We have to write three equation that have x = 5 as a solution:

1) First equation will be

x+3=8\\\\x=8-3\\\\x=5

2) Second equation will be

2x-8=2\\\\2x=8+2\\\\2x=10\\\\x=\frac{10}{2}\\\\x=5

3) Third equation will be

4x-4=16\\\\4x=16+4\\\\4x=20\\\\x=\frac{20}{4}\\\\x=5

Hence, the three different equations will be

x+3=8\\\\2x-8=2\\\\4x-4=16



7 0
4 years ago
Read 2 more answers
PLEASSSEEE HELLPPP
Sidana [21]

Answer:

D: 14q + 21√qr

Step-by-step explanation:

We want to find the product of;

(2√q + 3√r) and 7√q.

Where p and q are integers.

Using distributive property, we have;

(2√q × 7√q) + (3√r × 7√q)

>> 14q + 21√qr

Correct option is D

3 0
3 years ago
Use the distributive property to expand the expression. −(3a3 − 4b2) (12x − 9y − 5)
aalyn [17]
The answer to that is -3a+4b+12x-9y-4
6 0
3 years ago
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